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4020004200 = 233526700007
BaseRepresentation
bin1110111110011100…
…0110010101101000
3101101011100101001110
43233213012111220
531213110113300
61502522350320
7201422320602
oct35747062550
911334311043
104020004200
111783207723
1294235b3a0
134c0b06a14
142a1c80172
15187dc7550
hexef9c6568

4020004200 has 48 divisors (see below), whose sum is σ = 12462014880. Its totient is φ = 1072000960.

The previous prime is 4020004199. The next prime is 4020004213. The reversal of 4020004200 is 24000204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349404 + ... + 3350603.

It is an arithmetic number, because the mean of its divisors is an integer number (259625310).

Almost surely, 24020004200 is an apocalyptic number.

4020004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020004200 is an abundant number, since it is smaller than the sum of its proper divisors (8442010680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020004200 is a wasteful number, since it uses less digits than its factorization.

4020004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700026 (or 6700017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4020004200 is about 63403.5030577964. The cubic root of 4020004200 is about 1590.0428768945.

Adding to 4020004200 its reverse (24000204), we get a palindrome (4044004404).

It can be divided in two parts, 4020004 and 200, that added together give a palindrome (4020204).

The spelling of 4020004200 in words is "four billion, twenty million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6700007 13400014 20100021 26800028 33500035 40200042 53600056 67000070 80400084 100500105 134000140 160800168 167500175 201000210 268000280 335000350 402000420 502500525 670000700 804000840 1005001050 1340001400 2010002100 4020004200